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742791816 = 233313264527
BaseRepresentation
bin101100010001100…
…001101010001000
31220202200201211000
4230101201222020
53010123314231
6201412335000
724256424544
oct5421415210
91822621730
10742791816
11351317538
12188914460
13bab728b0
1470916a24
15453266e6
hex2c461a88

742791816 has 64 divisors (see below), whose sum is σ = 2222035200. Its totient is φ = 228550464.

The previous prime is 742791811. The next prime is 742791823. The reversal of 742791816 is 618197247.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (742791811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129456 + ... + 135071.

It is an arithmetic number, because the mean of its divisors is an integer number (34719300).

Almost surely, 2742791816 is an apocalyptic number.

It is an amenable number.

742791816 is an abundant number, since it is smaller than the sum of its proper divisors (1479243384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742791816 is a wasteful number, since it uses less digits than its factorization.

742791816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264555 (or 264545 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 742791816 is about 27254.2073082304. The cubic root of 742791816 is about 905.6402238009.

The spelling of 742791816 in words is "seven hundred forty-two million, seven hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 264527 529054 793581 1058108 1587162 2116216 2380743 3174324 3438851 4761486 6348648 6877702 7142229 9522972 10316553 13755404 14284458 19045944 20633106 27510808 28568916 30949659 41266212 57137832 61899318 82532424 92848977 123798636 185697954 247597272 371395908 742791816